Basic stats

## [1] "number of trees sampled:  398"

Crown height and position

Crown shape, projected area and volume

Light interception

Light conditions

Stem height, tapering, volume, density and mass

PCA

## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.9628 1.2449 1.0784 0.9837 0.82687 0.56906 0.53278
## Proportion of Variance 0.4336 0.1744 0.1309 0.1089 0.07695 0.03645 0.03195
## Cumulative Proportion  0.4336 0.6080 0.7389 0.8478 0.92479 0.96124 0.99318
##                            PC8     PC9
## Standard deviation     0.21561 0.11862
## Proportion of Variance 0.00523 0.00158
## Cumulative Proportion  0.99842 1.00000

Partial regression

## 
## Call:
## lm(formula = log(tmp$cmax) ~ log(tmp$bM1c))
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.56369 -0.10123  0.00619  0.11219  0.50895 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   1.300139   0.008888  146.29   <2e-16 ***
## log(tmp$bM1c) 0.228591   0.012743   17.94   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1701 on 374 degrees of freedom
## Multiple R-squared:  0.4625, Adjusted R-squared:  0.4611 
## F-statistic: 321.8 on 1 and 374 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = log(tmp$tL) ~ log(tmp$bM1c))
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.9103 -0.4693  0.0759  0.5869  2.0180 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)    3.84072    0.04324   88.81   <2e-16 ***
## log(tmp$bM1c)  0.63125    0.06200   10.18   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.8276 on 374 degrees of freedom
## Multiple R-squared:  0.217,  Adjusted R-squared:  0.2149 
## F-statistic: 103.7 on 1 and 374 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = lb$residuals ~ hb$residuals)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.8943 -0.4751  0.0816  0.5886  2.0014 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)
## (Intercept)  6.630e-17  4.264e-02   0.000    1.000
## hb$residuals 2.099e-01  2.514e-01   0.835    0.404
## 
## Residual standard error: 0.8269 on 374 degrees of freedom
## Multiple R-squared:  0.00186,    Adjusted R-squared:  -0.0008087 
## F-statistic: 0.697 on 1 and 374 DF,  p-value: 0.4043
## 
## Call:
## lm(formula = log(tmp$rgrBc) ~ log(tmp$tL))
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.91203 -0.27562  0.08529  0.37540  0.96666 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -2.42401    0.10822 -22.399  < 2e-16 ***
## log(tmp$tL)  0.10416    0.02787   3.738 0.000214 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.504 on 374 degrees of freedom
## Multiple R-squared:  0.03602,    Adjusted R-squared:  0.03344 
## F-statistic: 13.97 on 1 and 374 DF,  p-value: 0.0002144

## 
## Call:
## lm(formula = gl$residuals ~ lb$residuals)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.91292 -0.27639  0.08496  0.37561  0.96774 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)
## (Intercept)  -2.856e-17  2.599e-02   0.000    1.000
## lb$residuals -9.983e-04  3.149e-02  -0.032    0.975
## 
## Residual standard error: 0.504 on 374 degrees of freedom
## Multiple R-squared:  2.687e-06,  Adjusted R-squared:  -0.002671 
## F-statistic: 0.001005 on 1 and 374 DF,  p-value: 0.9747